PIRSA:18010087 Scientific Series Condensed Matter

DOI10.48660/18010087

Series: Quantum Matter

Whitsitt, S. (2018). Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories. Perimeter Institute. https://pirsa.org/18010087

Whitsitt, Seth. Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories. Perimeter Institute, Jan. 23, 2018, https://pirsa.org/18010087 

@misc{ pirsa_PIRSA:18010087,
  doi = {10.48660/18010087},
  url = {https://pirsa.org/18010087},
  author = {Whitsitt, Seth},
  keywords = {Condensed Matter},
  language = {en},
  title = {Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {jan},
  note = {PIRSA:18010087 see, \url{https://pirsa.org}}
}

Abstract

Finite-size spectra and entanglement both characterize nonlocal physics of quantum systems, and are universal properties of a CFT. I discuss the energy spectrum of the Wilson-Fisher CFT on the torus in the \epsilon and 1/N expansions. I also consider a class of deconfined quantum critical points where the torus spectrum contains signatures of proximate Z2 topological order. Finally, I compute the entanglement entropy of the Wilson-Fisher and Gross-Neveu CFTs in the large N limit, where an exact mapping to free field entanglement is obtained. Comparison is made with numerics.

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